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x = 2 cos(θ)y = 3 sin(θ)-π/2 <= θ <= π/2
Eliminate the parameter to find a Cartesian equation of the curve.
There are $560 available to build a fence around a rectangular garden. One side must be reinforced and will cost $10 per foot. The other three sides can be built for $4 per foot. Find the dimensions of the largest possible garden which can be buil..
A man invested a total of $22,000 in two investments. he made a profit of 7% on the first investment and 2% in the second investment. If his total profit was $920, what was the amount of each investment?
If each ton of rock costs $70, each plant is $20, and each tree is $74, what is the maximum number of trees you can buy with a budget of $2,500? Write an inequality that illustrates the problem and solve.
An object is thrown upward from the top of a 48 foot building, with an initial velocity of 32 feet per second. The height h of the object after t seconds is given by the quadratic equation h=-16t^2+32t+48. When will the object hit the ground?
Assume that the pool's depth increases constantly between the shallow end and the deep end. How fast in the height of the water increasing when the water has filled 4 feet of the deep end?
At a certain factory, approximately q(t) = t^2 + 50t units are manufactured during the first t hours of a production run, and the total cost of manufacturing q units is C(q) = 0.1q^2 + 10q + 400 dollars.
A car traveling at 60 mph is brought to a stop, at constant deceleration, 88 feet from where the brakes are applied. How lond did it take for the car to stop?
Develop an algebraic equation with clearly defined variables to represent the cost/yield of each option. We are aloud to make up any numbers that we want.
the length of a second side of a triangle is 2 inches less than the length of the first side. The length of the third side is 12 inches more than the first side. The perimeter of the triangle is 73 inches. Find the length of each side of the trian..
Calculate the probability.
What is room temperature in celsius and kelvin? How do you do that using Tf=1.8(Tc)+32 and Tk=Tc+273.
A tank contains a brine solution in which 5 lb of salt is dissolved in 10 gal of water. Brine containing 3 lb of salt per gal flows into the tank at 2 gal/min, and the well-stirred mixture flows out at the same rate. Determine the equation for the..
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